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Simplifying 29 + 6v = 7(4v + 1) Reorder the terms: 29 + 6v = 7(1 + 4v) 29 + 6v = (1 * 7 + 4v * 7) 29 + 6v = (7 + 28v) Solving 29 + 6v = 7 + 28v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-28v' to each side of the equation. 29 + 6v + -28v = 7 + 28v + -28v Combine like terms: 6v + -28v = -22v 29 + -22v = 7 + 28v + -28v Combine like terms: 28v + -28v = 0 29 + -22v = 7 + 0 29 + -22v = 7 Add '-29' to each side of the equation. 29 + -29 + -22v = 7 + -29 Combine like terms: 29 + -29 = 0 0 + -22v = 7 + -29 -22v = 7 + -29 Combine like terms: 7 + -29 = -22 -22v = -22 Divide each side by '-22'. v = 1 Simplifying v = 1
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